tejal777 wrote: The probability is 0.6 that an “unfair” coin will turn up tails on any given toss. If the coin is tossed 3 times, what is the probability that at least one of the tosses will turn up tails? Similarly TTH can also occur in 3 way: TTH, THT and HTT. So, you should have P(TTH)=0.6^2*0.4*3!/2!.
How many different outcomes are possible for 4 tosses of a coin?
16 possible outcomes
Suppose we flip a coin four times. Since each flip can come up heads or tails, there are 16 possible outcomes, tabulated below, grouped by the number of heads in the four flips.
What are the odds of losing a coin toss 4 times in a row?
The probability of getting 4 heads in a row is 1/2 of that, or 1/16.
How many coin flips are needed to detect that the coin is unfair?
It is of course impossible to rule out arbitrarily small deviations from fairness such as might be expected to affect only one flip in a lifetime of flipping; also it is always possible for an unfair (or “biased”) coin to happen to turn up exactly 10 heads in 20 flips.
What is fair and unfair coin?
In probability theory and statistics, a sequence of independent Bernoulli trials with probability 1/2 of success on each trial is metaphorically called a fair coin. One for which the probability is not 1/2 is called a biased or unfair coin.
What is the probability of 5 heads in 7 tosses of the unfair coin?
0.23 is the probability of getting 5 Heads in 7 tosses.
What is the probability of getting at least 3 heads when flipping 4 coins?
0.25 is the probability of getting exactly 3 Heads in 4 tosses.
What is the probability of flipping exactly 3 heads when flipping a coin 4 times?
1/4
N=3: To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. Thus there are only 4 outcomes which have three heads. The probability is 4/16 = 1/4.
What is the probability of getting all heads if you flip 5 coins?
So we can represent it as 1/2^n (half to the power of n) where n is the number of times we flip the coin. So the odds of flipping a coin 5 times and getting 5 heads are 1/2 ^5 (half to the power of 5). Which gives us 1/32 or just over a 3% chance.
What is the probability of getting 3 tails in 4 coin tosses?
0.31 is the probability of getting 3 Tails in 4 tosses. Exactly 3 tails in 4 Coin Flips. The ratio of successful events A = 4 to total number of possible combinations of sample space S = 16 is the probability of 3 tails in 4 coin tosses.
How many coin tosses to get HTTH?
Let a denote the number of coin tosses it takes to get HTTH. Starting from no progress, no correct, either, we get T or H. If we get H we will progress, while if the get T we stay with no progress. Both ways, we have tossed the coin once. In the next, we have H. If we get H we stay with progress one correct or we proceed to next stage two correct.
How to calculate the expected number of tosses?
Expectation of tosses starting from HTT to HTTH is d. A more combinatorial proof is possible by counting the possible sequences …HTTH so that HTTH is not a substring, but it is not as simple as a probabilistic one. I did actually try this, by defining the sequence a ( n) as the number of sequences not containing HTTH.
